Energy density gradient of the electric field of a particle as a cause of the Coulomb force

This article presents the results of studying the density distribution of electric field of a solitary charged ball and a system of two charged spherical particles. The equal charges of different signs are transferred to particles. On the basis of analytical and numerical calculation of the gradient of spatial distribution of the electric field density near the surface of a spherical particle, the distribution of the density of forces acting per unit of its surface is determined. The total force applied to a charged spherical particle is determined by integrating the surface density of forces. The results of numerical calculations of forces acting in the system of two spherical particles of the same radius, located at a distance from each other, which have the same modulus charges of different sign, are presented. The results obtained indicate that the force calculated using the energy density gradient is equal to the Coulomb force.

Authors: V. D. Goncharov, N. A. Ermolaev, M. A. Gorelikova, R. V. Yashkardin

Direction: Electrical Engineering

Keywords: Maxwell’s equations, electric field, Coulomb force, energy density

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